40034230400 has 96 divisors (see below), whose sum is σ = 100290545280. Its totient is φ = 15788057600.

The previous prime is 40034230391. The next prime is 40034230429. The reversal of 40034230400 is 403243004.

It is a happy number.

It is a super-3 number, since 3×40034230400³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139097 + ... + 315303.

It is an arithmetic number, because the mean of its divisors is an integer number (1044693180).

Almost surely, 2^40034230400 is an apocalyptic number.

40034230400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40034230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50145272640).

40034230400 is an abundant number, since it is smaller than the sum of its proper divisors (60256314880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40034230400 is a wasteful number, since it uses less digits than its factorization.

40034230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176302 (or 176285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 40034230400 its reverse (403243004), we get a palindrome (40437473404).

The spelling of 40034230400 in words is "forty billion, thirty-four million, two hundred thirty thousand, four hundred".